Generalized Jiang and Gottlieb groups

Detalhes bibliográficos
Autor(a) principal: Golasiński, Marek
Data de Publicação: 2018
Outros Autores: De Melo, Thiago [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1515/gmj-2018-0060
http://hdl.handle.net/11449/186951
Resumo: Given a map f: X → Y we extend Gottlieb's result to the generalized Gottlieb group G (Y,f(x 0)and show that the canonical isomorphism π 1(Y, f(x 0)) → (Y) π1(Y,f(x0))→D(Y) restricts to an isomorphism Gf (Y, f(x 0))→ f ∼ 0(Y) Gf(Y,f(x0)) toDf0(Y), where f ∼ 0 (Y) Df 0(Y)is some subset of the group(Y)D(Y) of deck transformations of Y for a fixed lifting f0 of f with respect to universal coverings of X and Y, respectively.
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spelling Generalized Jiang and Gottlieb groupsDeck transformationfber-preserving mapGottlieb groupJiang groupuniversal covering mapWhitehead center groupGiven a map f: X → Y we extend Gottlieb's result to the generalized Gottlieb group G (Y,f(x 0)and show that the canonical isomorphism π 1(Y, f(x 0)) → (Y) π1(Y,f(x0))→D(Y) restricts to an isomorphism Gf (Y, f(x 0))→ f ∼ 0(Y) Gf(Y,f(x0)) toDf0(Y), where f ∼ 0 (Y) Df 0(Y)is some subset of the group(Y)D(Y) of deck transformations of Y for a fixed lifting f0 of f with respect to universal coverings of X and Y, respectively.Faculty of Mathematics and Computer Sciences University of Warmia and Mazury, Słoneczna street 54Institute of Geosciences and Exact Sciences São Paulo State University (Unesp), Av. 24A, Bela Vista, CEP 13.506-900Institute of Geosciences and Exact Sciences São Paulo State University (Unesp), Av. 24A, Bela Vista, CEP 13.506-900University of Warmia and MazuryUniversidade Estadual Paulista (Unesp)Golasiński, MarekDe Melo, Thiago [UNESP]2019-10-06T15:20:53Z2019-10-06T15:20:53Z2018-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article523-528http://dx.doi.org/10.1515/gmj-2018-0060Georgian Mathematical Journal, v. 25, n. 4, p. 523-528, 2018.1572-91761072-947Xhttp://hdl.handle.net/11449/18695110.1515/gmj-2018-00602-s2.0-85054795243Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengGeorgian Mathematical Journalinfo:eu-repo/semantics/openAccess2021-10-23T19:49:54Zoai:repositorio.unesp.br:11449/186951Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T19:49:54Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Generalized Jiang and Gottlieb groups
title Generalized Jiang and Gottlieb groups
spellingShingle Generalized Jiang and Gottlieb groups
Golasiński, Marek
Deck transformation
fber-preserving map
Gottlieb group
Jiang group
universal covering map
Whitehead center group
title_short Generalized Jiang and Gottlieb groups
title_full Generalized Jiang and Gottlieb groups
title_fullStr Generalized Jiang and Gottlieb groups
title_full_unstemmed Generalized Jiang and Gottlieb groups
title_sort Generalized Jiang and Gottlieb groups
author Golasiński, Marek
author_facet Golasiński, Marek
De Melo, Thiago [UNESP]
author_role author
author2 De Melo, Thiago [UNESP]
author2_role author
dc.contributor.none.fl_str_mv University of Warmia and Mazury
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Golasiński, Marek
De Melo, Thiago [UNESP]
dc.subject.por.fl_str_mv Deck transformation
fber-preserving map
Gottlieb group
Jiang group
universal covering map
Whitehead center group
topic Deck transformation
fber-preserving map
Gottlieb group
Jiang group
universal covering map
Whitehead center group
description Given a map f: X → Y we extend Gottlieb's result to the generalized Gottlieb group G (Y,f(x 0)and show that the canonical isomorphism π 1(Y, f(x 0)) → (Y) π1(Y,f(x0))→D(Y) restricts to an isomorphism Gf (Y, f(x 0))→ f ∼ 0(Y) Gf(Y,f(x0)) toDf0(Y), where f ∼ 0 (Y) Df 0(Y)is some subset of the group(Y)D(Y) of deck transformations of Y for a fixed lifting f0 of f with respect to universal coverings of X and Y, respectively.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-01
2019-10-06T15:20:53Z
2019-10-06T15:20:53Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1515/gmj-2018-0060
Georgian Mathematical Journal, v. 25, n. 4, p. 523-528, 2018.
1572-9176
1072-947X
http://hdl.handle.net/11449/186951
10.1515/gmj-2018-0060
2-s2.0-85054795243
url http://dx.doi.org/10.1515/gmj-2018-0060
http://hdl.handle.net/11449/186951
identifier_str_mv Georgian Mathematical Journal, v. 25, n. 4, p. 523-528, 2018.
1572-9176
1072-947X
10.1515/gmj-2018-0060
2-s2.0-85054795243
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Georgian Mathematical Journal
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 523-528
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1797789355526324224

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